OUTPUT of run 2 of at most 100:
```
L0H0 effective QK norm 0.1137 SV [0.089 0.068 0.013 0.008]; eig [-0.049+0.j     0.006+0.009j  0.006-0.009j -0.003+0.j    -0.001+0.002j
 -0.001-0.002j]; key/query bias norms 0.018 0.016; effective OV norm 4.321 trace 1.666
L0H1 effective QK norm 0.8775 SV [0.601 0.373 0.297 0.211]; eig [ 0.218+0.345j  0.218-0.345j -0.284+0.j    -0.123+0.15j  -0.123-0.15j
 -0.097+0.098j]; key/query bias norms 0.074 0.106; effective OV norm 3.488 trace 0.164
L0H2 effective QK norm 0.1745 SV [0.132 0.08  0.044 0.031]; eig [ 0.091+0.j     0.053+0.j    -0.022+0.j    -0.013+0.001j -0.013-0.001j
  0.011+0.j   ]; key/query bias norms 0.023 0.079; effective OV norm 2.023 trace 0.015
L0H3 effective QK norm 0.2395 SV [0.165 0.14  0.081 0.031]; eig [-0.078+0.005j -0.078-0.005j -0.02 +0.j     0.006+0.017j  0.006-0.017j
  0.007+0.j   ]; key/query bias norms 0.057 0.149; effective OV norm 1.621 trace 0.242
L0H4 effective QK norm 0.0093 SV [0.004 0.003 0.002 0.002]; eig [-0.001+0.001j -0.001-0.001j -0.001+0.j    -0.001-0.j     0.   +0.001j
  0.   -0.001j]; key/query bias norms 0.001 0.001; effective OV norm 17.158 trace 6.049
L0H5 effective QK norm 0.9704 SV [0.41  0.362 0.273 0.254]; eig [0.207+0.275j 0.207-0.275j 0.114+0.172j 0.114-0.172j 0.178+0.j
 0.155+0.084j]; key/query bias norms 0.051 0.066; effective OV norm 3.707 trace -2.463
L1H0 effective QK norm 0.6440 SV [0.354 0.252 0.218 0.167]; eig [ 0.028+0.051j  0.028-0.051j -0.051+0.023j -0.051-0.023j -0.051+0.j
 -0.041+0.013j]; key/query bias norms 0.839 0.841; effective OV norm 13.436 trace -16.299
L1H1 effective QK norm 1.5843 SV [1.146 0.661 0.459 0.326]; eig [ 0.08 +0.26j   0.08 -0.26j  -0.144+0.009j -0.144-0.009j -0.092+0.079j
 -0.092-0.079j]; key/query bias norms 3.150 2.183; effective OV norm 9.592 trace -11.205
L1H2 effective QK norm 1.2358 SV [0.807 0.693 0.332 0.205]; eig [ 0.057+0.202j  0.057-0.202j -0.108+0.j    -0.07 +0.05j  -0.07 -0.05j
 -0.079+0.004j]; key/query bias norms 2.200 1.897; effective OV norm 11.496 trace -14.892
L1H3 effective QK norm 1.3094 SV [0.913 0.699 0.309 0.202]; eig [ 0.076+0.272j  0.076-0.272j -0.094+0.j     0.092+0.j    -0.08 +0.024j
 -0.08 -0.024j]; key/query bias norms 2.719 2.207; effective OV norm 10.043 trace -10.571
L1H4 effective QK norm 1.2492 SV [0.848 0.654 0.34  0.213]; eig [ 0.071+0.239j  0.071-0.239j -0.085+0.014j -0.085-0.014j -0.078+0.j
 -0.065+0.028j]; key/query bias norms 2.518 1.942; effective OV norm 9.557 trace -10.446
L1H5 effective QK norm 1.4614 SV [1.009 0.555 0.482 0.45 ]; eig [ 0.072+0.204j  0.072-0.204j -0.156+0.j    -0.124+0.j    -0.083+0.053j
 -0.083-0.053j]; key/query bias norms 2.460 1.810; effective OV norm 9.826 trace -13.045
L2H0 effective QK norm 2.0456 SV [0.518 0.485 0.459 0.416]; eig [ 0.033+0.132j  0.033-0.132j -0.117+0.j     0.091+0.074j  0.091-0.074j
  0.037+0.104j]; key/query bias norms 0.895 0.774; effective OV norm 18.698 trace -35.970
L2H1 effective QK norm 1.9454 SV [0.458 0.421 0.396 0.393]; eig [0.142+0.036j 0.142-0.036j 0.142+0.j    0.141+0.011j 0.141-0.011j
 0.131+0.022j]; key/query bias norms 0.638 0.333; effective OV norm 21.448 trace -40.225
L2H2 effective QK norm 2.8040 SV [0.709 0.693 0.676 0.634]; eig [0.259+0.j    0.08 +0.216j 0.08 -0.216j 0.193+0.058j 0.193-0.058j
 0.195-0.026j]; key/query bias norms 1.584 1.581; effective OV norm 16.782 trace -29.462
L2H3 effective QK norm 1.9759 SV [0.571 0.423 0.412 0.392]; eig [ 0.058+0.185j  0.058-0.185j  0.002+0.106j  0.002-0.106j -0.055+0.085j
 -0.055-0.085j]; key/query bias norms 1.037 1.265; effective OV norm 20.617 trace -38.568
L2H4 effective QK norm 2.2016 SV [0.783 0.587 0.484 0.429]; eig [ 0.08 +0.22j   0.08 -0.22j   0.154+0.j    -0.121+0.j     0.086+0.077j
  0.086-0.077j]; key/query bias norms 1.199 1.340; effective OV norm 18.415 trace -38.753
L2H5 effective QK norm 1.6541 SV [0.419 0.414 0.359 0.32 ]; eig [-0.107+0.j    -0.007+0.101j -0.007-0.101j -0.079+0.045j -0.079-0.045j
  0.09 +0.j   ]; key/query bias norms 0.636 0.492; effective OV norm 23.766 trace -33.940
L3H0 effective QK norm 2.0777 SV [0.405 0.399 0.385 0.377]; eig [0.13 +0.j    0.119-0.04j  0.119+0.04j  0.119-0.018j 0.119+0.018j
 0.109+0.j   ]; key/query bias norms 0.299 0.302; effective OV norm 24.502 trace -48.319
L3H1 effective QK norm 1.6948 SV [0.322 0.315 0.309 0.304]; eig [0.11 +0.027j 0.11 -0.027j 0.112+0.j    0.075+0.071j 0.075-0.071j
 0.102+0.j   ]; key/query bias norms 0.263 0.253; effective OV norm 25.724 trace -49.613
L3H2 effective QK norm 2.0608 SV [0.434 0.411 0.392 0.362]; eig [0.036+0.114j 0.036-0.114j 0.114-0.026j 0.114+0.026j 0.003+0.11j
 0.003-0.11j ]; key/query bias norms 0.342 0.286; effective OV norm 26.860 trace -50.565
L3H3 effective QK norm 1.0530 SV [0.262 0.237 0.208 0.202]; eig [ 0.027+0.061j  0.027-0.061j  0.06 +0.j     0.026+0.049j  0.026-0.049j
 -0.002-0.051j]; key/query bias norms 0.258 0.160; effective OV norm 37.938 trace -51.153
L3H4 effective QK norm 1.7344 SV [0.401 0.369 0.357 0.323]; eig [-0.105+0.j     0.093+0.j     0.066+0.059j  0.066-0.059j  0.029+0.079j
  0.029-0.079j]; key/query bias norms 0.307 0.239; effective OV norm 28.440 trace -35.013
L3H5 effective QK norm 2.1169 SV [0.404 0.39  0.384 0.37 ]; eig [0.195+0.117j 0.195-0.117j 0.213-0.074j 0.213+0.074j 0.2  +0.104j
 0.2  -0.104j]; key/query bias norms 0.310 0.307; effective OV norm 23.687 trace -56.843

NORMALIZED TRACE(QK_l @ OV_earlier), columns earlier heads
QK layer 1 OV layer 0
[[ 0.007 -0.    -0.008  0.005  0.021 -0.003]
 [-0.005  0.007 -0.016  0.006  0.019  0.015]
 [ 0.004  0.001 -0.017  0.009  0.033 -0.003]
 [ 0.008 -0.003 -0.013  0.006  0.042  0.012]
 [ 0.009  0.002 -0.018  0.011  0.044  0.009]
 [-0.019  0.005 -0.013 -0.    -0.004  0.013]]
QK layer 2 OV layer 0
[[ 0.005 -0.001 -0.003  0.008  0.01  -0.005]
 [ 0.007  0.001  0.011  0.003  0.004  0.078]
 [ 0.011 -0.017 -0.005  0.001  0.02  -0.039]
 [ 0.018 -0.001 -0.007  0.007  0.04  -0.003]
 [ 0.008 -0.006 -0.004  0.01   0.025  0.002]
 [ 0.009  0.001  0.     0.005  0.019  0.007]]
QK layer 2 OV layer 1
[[-0.013  0.004 -0.     0.002 -0.     0.006]
 [ 0.003  0.048  0.048  0.057  0.048  0.035]
 [-0.042 -0.016 -0.043 -0.007 -0.023 -0.007]
 [-0.02   0.005 -0.016  0.004 -0.005  0.004]
 [-0.014 -0.008 -0.011 -0.002 -0.004 -0.006]
 [ 0.     0.008  0.009  0.006  0.007  0.007]]
QK layer 3 OV layer 0
[[ 0.01  -0.004  0.007  0.008  0.01   0.019]
 [ 0.008  0.007  0.006  0.001  0.004  0.061]
 [ 0.006 -0.003  0.002 -0.001  0.013 -0.001]
 [ 0.004  0.003  0.005  0.003  0.007  0.001]
 [ 0.009 -0.006  0.006  0.003  0.012  0.01 ]
 [ 0.006 -0.009  0.     0.003  0.003  0.071]]
QK layer 3 OV layer 1
[[ 0.008  0.008  0.01   0.006  0.006  0.001]
 [ 0.013  0.033  0.038  0.045  0.046  0.027]
 [-0.012  0.001 -0.009  0.    -0.009 -0.004]
 [ 0.005  0.002  0.008 -0.     0.002  0.004]
 [ 0.     0.007  0.003  0.005  0.005  0.008]
 [ 0.004  0.042  0.048  0.068  0.057  0.02 ]]
QK layer 3 OV layer 2
[[-0.003 -0.013  0.024 -0.001  0.004 -0.009]
 [ 0.015 -0.018  0.11   0.021  0.005 -0.   ]
 [-0.005 -0.007 -0.    -0.003 -0.001 -0.003]
 [ 0.006 -0.005  0.009  0.01   0.015  0.005]
 [ 0.001 -0.008  0.008  0.004  0.01  -0.004]
 [-0.008 -0.06   0.184  0.055 -0.022 -0.022]]

L0: overlap of top QK singular subspaces with top value-read subspace
Combined effective V0 singular values: [3.195 2.304 1.316 0.88  0.809 0.771 0.73  0.704 0.685 0.662 0.638 0.629
 0.623 0.621 0.604 0.595 0.582 0.567 0.554 0.55  0.542 0.541 0.522 0.513
 0.496 0.487 0.479 0.475 0.464 0.457 0.447 0.431 0.428 0.424 0.41  0.399
 0.389 0.383 0.373 0.369 0.358 0.345 0.334 0.333 0.319]
L0H0 V-rank8 query/key energy 0.744 0.374
L0H0 V-rank24 query/key energy 0.794 0.603
L0H1 V-rank8 query/key energy 0.590 0.611
L0H1 V-rank24 query/key energy 0.630 0.652
L0H2 V-rank8 query/key energy 0.712 0.559
L0H2 V-rank24 query/key energy 0.778 0.732
L0H3 V-rank8 query/key energy 0.632 0.587
L0H3 V-rank24 query/key energy 0.691 0.746
L0H4 V-rank8 query/key energy 0.050 0.099
L0H4 V-rank24 query/key energy 0.116 0.193
L0H5 V-rank8 query/key energy 0.276 0.288
L0H5 V-rank24 query/key energy 0.320 0.336

L0 QK pairwise Frobenius cosines
[[ 1.     0.179  0.112  0.206  0.063  0.093]
 [ 0.179  1.     0.21  -0.15   0.005  0.414]
 [ 0.112  0.21   1.    -0.247 -0.006  0.114]
 [ 0.206 -0.15  -0.247  1.    -0.027 -0.098]
 [ 0.063  0.005 -0.006 -0.027  1.    -0.004]
 [ 0.093  0.414  0.114 -0.098 -0.004  1.   ]]

L0 V-head top-24 right-subspace overlaps (mean squared cosine)
[[1.    0.219 0.254 0.277 0.347 0.217]
 [0.219 1.    0.325 0.314 0.324 0.619]
 [0.254 0.325 1.    0.296 0.25  0.291]
 [0.277 0.314 0.296 1.    0.28  0.264]
 [0.347 0.324 0.25  0.28  1.    0.35 ]
 [0.217 0.619 0.291 0.264 0.35  1.   ]]

```